Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Find the value of .
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Find the value of
∫
d
x
x
2
+
9
\displaystyle \int \frac{dx}{x^{2}+9}
∫
x
2
+
9
d
x
. (a)
1
3
cot
−
1
x
3
+
C
\dfrac{1}{3}\cot^{-1}\dfrac{x}{3}+C
3
1
cot
−
1
3
x
+
C
(b)
tan
−
1
x
3
+
C
\tan^{-1}\dfrac{x}{3}+C
tan
−
1
3
x
+
C
(c)
1
3
tan
−
1
x
3
+
C
\dfrac{1}{3}\tan^{-1}\dfrac{x}{3}+C
3
1
tan
−
1
3
x
+
C
(d)
1
3
ln
∣
x
2
+
9
∣
+
C
\dfrac{1}{3}\ln|x^{2}+9|+C
3
1
ln
∣
x
2
+
9∣
+
C
Related theory
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
Browse the problem library